Lower bounds on the nonzero capacity of Pauli channels

Jesse Fern, K. Birgitta Whaley · Physical Review A · 2008

We study encodings that give the best-known thresholds for the nonzero capacity of quantum channels, i.e., the upper bound for correctable noise, using an entropic approach to calculation of the threshold values. Our results show that Pauli noise is correctable up to the hashing bound. For a depolarizing channel, this approach allows one to achieve a nonzero capacity for a fidelity (probability of no error) of $f=0.808\phantom{\rule{0.2em}{0ex}}70$.

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